Article ID Journal Published Year Pages File Type
4651058 Discrete Mathematics 2007 7 Pages PDF
Abstract

Given a strongly connected digraph DD of order nn and a subset SS of V(D)V(D), we prove that if any two nonadjacent vertices of SS have degree sum at least 2n-12n-1, there is a directed cycle in DD that contains all the vertices of SS. This result generalizes the theorem of Meyniel on hamiltonicity.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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